Finding the Third Proportional to 55,436 and 85,341

Step by Step Solution

1. Step 1: Write the proportion equation
   55,436 : 85,341 = 85,341 : x
2. Step 2: Convert to fraction form
   55,436/85,341 = 85,341/x
3. Step 3: Cross multiply
   55,436x = 85,341 × 85,341
4. Step 4: Simplify right side
   55,436x = 7,283,086,281
5. Step 5: Solve for x
   x = 7,283,086,281/55,436
6. Step 6: Final answer
   x = 131,378.28